{"product_id":"on-artin-cokernel-of-the-group-dnh-when-n-is-an-even-number-von-hussein-hadi-abass-intissar-abd-al-hur-kadum","title":"On Artin Cokernel of The Group Dnh When n is an Even Number","description":"\u003cp\u003eFor a finite group G ,let R(G) denotes the group generated by Z-valued characters of G under the operation of pointwise addition ,inside this group there is a subgroup generated by Artin's characters , which will be denoted by T(G) .Awell known theorem due to Artin asserted that T(G)has a finite index in R(G).The factor group R(G) \/T(G) is called Artin cokernel of G which is denoted by AC(G) ,and it is a finite abelian group of exponent A(G). The problem of determining the cyclic decomposition of AC(G) seems to be untouched. In this work ,G is considered to be Dnh=DnxC2 and the reason for such consideration is the close relation between AC(G) and the factor group cf(G,Z)\/R(G) ,where cf(G,Z) is the group of all z-vauled class functions on the group G .\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786202346795\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9786202346795","offer_id":39464871002205,"sku":"9786202346795","price":31.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a62b2842-cb73-46f5-8fcc-b540e7a1ab68.jpg?v=1756879717","url":"https:\/\/shop.autorenwelt.de\/products\/on-artin-cokernel-of-the-group-dnh-when-n-is-an-even-number-von-hussein-hadi-abass-intissar-abd-al-hur-kadum","provider":"Autorenwelt Shop","version":"1.0","type":"link"}